Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

analyze11.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (25.3% of total)

ival-add: 1.0ms (25.3% of total)

ival-mult: 1.0ms (25.3% of total)

ival-sqrt: 1.0ms (25.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample684.0ms (8%)

Results

443.0ms	8255×	0	valid
16.0ms	270×	0	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-sqrt: 68.0ms (27.9% of total)

ival-mult: 65.0ms (26.6% of total)

ival-sub: 56.0ms (22.9% of total)

ival-add: 42.0ms (17.2% of total)

const: 10.0ms (4.1% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess119.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1764×	`fnmadd-define`
1688×	`sum5-define`
1564×	`sum4-define`
1388×	`fmsub-define`
1364×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	56
1	59	46
2	190	44
3	660	44
4	2385	44
5	5213	44
6	6719	44
7	7150	44
8	7235	44
0	7	8
1	15	7
2	37	7
3	70	7
4	164	7
5	419	7
6	1148	7
7	1654	7
8	1917	7
9	1963	7
0	1963	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (- 1 x) (* y (sqrt x)))

Outputs
(+ (- 1 x) (* y (sqrt x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Call 2

Inputs
(+ (- 1 x) (* y (sqrt x)))
(+ (- 1 (neg x)) (* y (sqrt (neg x))))
(+ (- 1 x) (* (neg y) (sqrt x)))
(neg (+ (- 1 (neg x)) (* y (sqrt (neg x)))))
(neg (+ (- 1 x) (* (neg y) (sqrt x))))
(+ (- 1 y) (* x (sqrt y)))

Outputs
(+ (- 1 x) (* y (sqrt x)))
(- (fmsub y (sqrt x) -1) x)
(+ (- 1 (neg x)) (* y (sqrt (neg x))))
(fmsub y (sqrt (neg x)) (- -1 x))
(+ (- 1 x) (* (neg y) (sqrt x)))
(+ 1 (fnmsub y (sqrt x) x))
(neg (+ (- 1 (neg x)) (* y (sqrt (neg x)))))
(fnmsub y (sqrt (neg x)) (+ 1 x))
(neg (+ (- 1 x) (* (neg y) (sqrt x))))
(+ x (fmsub y (sqrt x) 1))
(+ (- 1 y) (* x (sqrt y)))
(+ 1 (fmsub x (sqrt y) y))

explain71.0ms (0.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 y (sqrt.f64 x))`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`y`
-	-	`(sqrt.f64 x)`
-	-	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Results

46.0ms

512×

valid

Compiler

Compiled 56 to 23 computations (58.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 5.0ms (29% of total)

ival-mult: 4.0ms (23.2% of total)

ival-sqrt: 4.0ms (23.2% of total)

ival-sub: 3.0ms (17.4% of total)

const: 1.0ms (5.8% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(sqrt.f64 x)
✓	cost-diff	(*.f64 y (sqrt.f64 x))
✓	cost-diff	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Rules

484×	`fnmadd-define`
440×	`sum5-define`
412×	`sum3-define`
408×	`sum4-define`
352×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	15	19
2	37	19
3	70	19
4	164	19
5	419	19
6	1148	19
7	1654	19
8	1917	19
9	1963	19
0	1963	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (- 1 x) (* y (sqrt x)))
(- 1 x)
1
x
(* y (sqrt x))
y
(sqrt x)

Outputs
(+ (- 1 x) (* y (sqrt x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* y (sqrt x))
(*.f64 y (sqrt.f64 x))
y
(sqrt x)
(sqrt.f64 x)

localize35.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 x))

Results

27.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 2.0ms (26.9% of total)

ival-mult: 2.0ms (26.9% of total)

ival-sqrt: 2.0ms (26.9% of total)

ival-add: 1.0ms (13.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (+ (- 1 x) (* y (sqrt x)))>
#<alt (- 1 x)>
#<alt (* y (sqrt x))>
#<alt (sqrt x)>

Outputs
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(+ (- 1 x) (* y (sqrt x)))
0.0ms	x	@	0	(+ (- 1 x) (* y (sqrt x)))
0.0ms	x	@	inf	(+ (- 1 x) (* y (sqrt x)))
0.0ms	y	@	0	(+ (- 1 x) (* y (sqrt x)))
0.0ms	y	@	inf	(+ (- 1 x) (* y (sqrt x)))

rewrite294.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3140×	`-lowering-.f32`
3140×	`-lowering-.f64`
2206×	`/-lowering-/.f32`
2206×	`/-lowering-/.f64`
1880×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	42	16
2	372	16
3	5968	16
0	8041	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 166

Calls

Call 1

Inputs
(+ (- 1 x) (* y (sqrt x)))
(- 1 x)
(* y (sqrt x))
(sqrt x)

Outputs
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))) (neg.f64 (/.f64 (.f64 x (.f64 y y)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) x))
(+.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x))))
(-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 y (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (.f64 y (sqrt.f64 x))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))) (/.f64 (.f64 x (.f64 y y)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 y (sqrt.f64 x))) (-.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))))) (/.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 y (sqrt.f64 x))) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))))
(-.f64 (/.f64 (.f64 x (.f64 y y)) (+.f64 (-.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))) (/.f64 (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
(-.f64 (+.f64 (.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 (.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) #s(literal 0 binary64)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (.f64 y (sqrt.f64 x)))
(neg.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 x (.f64 y y)) #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))))))
(neg.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y))) (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 x (.f64 y y)) #s(literal 3/2 binary64)))) (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 y (sqrt.f64 x))) (-.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) (-.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 x (.f64 y y)) #s(literal 3/2 binary64))) (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 x (.f64 y y)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y)))) (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x)))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 3/2 binary64)) (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y)))))) (.f64 (+.f64 (.f64 x (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y)))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (.f64 x (.f64 y y)) #s(literal 3/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 y (sqrt.f64 x))) (-.f64 (+.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))
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(.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 x (.f64 y y)) #s(literal 3/2 binary64))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (pow.f64 (.f64 y (-.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 y (-.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) (-.f64 (.f64 y (-.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 x (.f64 y y)) #s(literal 3/2 binary64))) (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 y (-.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))) #s(literal 2 binary64)))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y (-.f64 (.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 x (.f64 y y)) #s(literal 3/2 binary64)))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))

simplify141.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2174×	`-lowering-.f32`
2174×	`-lowering-.f64`
1866×	`times-frac`
1650×	`sum4-define`
1428×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	347
1	148	334
2	498	328
3	1669	322
4	7180	322
0	8459	322

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

eval25.0ms (0.3%)

Compiler: Compiled 5756 to 550 computations (90.4% saved)

prune40.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	229	9	238
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	229	10	239

Accuracy

100.0%

Counts

239 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.5%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
▶	61.8%	(-.f64 #s(literal 1 binary64) x)
▶	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
▶	67.5%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
▶	93.9%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
	38.6%	(*.f64 (sqrt.f64 x) y)
	63.2%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 232 to 153 computations (34.1% saved)

simplify204.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))
✓	cost-diff	0	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	6656	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
✓	cost-diff	6656	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))

Rules

2054×	`fma-lowering-fma.f32`
2054×	`fma-lowering-fma.f64`
1874×	`fmsub-define`
1794×	`fnmsub-define`
1638×	`sum4-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	176
1	70	154
2	184	148
3	452	148
4	1442	148
5	5675	146
0	8372	146

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y)))
(- 1 x)
1
x
(* (pow x 1/4) (* (pow x 1/4) y))
(pow x 1/4)
1/4
(* (pow x 1/4) y)
y
(- 1 x)
1
x
(+ 1 (* (sqrt x) y))
1
(* (sqrt x) y)
(sqrt x)
x
y
(+ 1 (* x (+ -1 (* y (sqrt (/ 1 x))))))
1
(* x (+ -1 (* y (sqrt (/ 1 x)))))
x
(+ -1 (* y (sqrt (/ 1 x))))
-1
(* y (sqrt (/ 1 x)))
y
(sqrt (/ 1 x))
(/ 1 x)
(/ (- (* (- 1 x) (- 1 x)) (* x (* y y))) (- (- 1 x) (* y (sqrt x))))
(- (* (- 1 x) (- 1 x)) (* x (* y y)))
(* (- 1 x) (- 1 x))
(- 1 x)
1
x
(* x (* y y))
(* y y)
y
(- (- 1 x) (* y (sqrt x)))
(* y (sqrt x))
(sqrt x)

Outputs
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (pow x 1/4) (* (pow x 1/4) y))
(*.f64 y (sqrt.f64 x))
(pow x 1/4)
(pow.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* (pow x 1/4) y)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
y
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
1
#s(literal 1 binary64)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
x
y
(+ 1 (* x (+ -1 (* y (sqrt (/ 1 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
1
#s(literal 1 binary64)
(* x (+ -1 (* y (sqrt (/ 1 x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
x
(+ -1 (* y (sqrt (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
-1
#s(literal -1 binary64)
(* y (sqrt (/ 1 x)))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
y
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- (* (- 1 x) (- 1 x)) (* x (* y y))) (- (- 1 x) (* y (sqrt x))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y)))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))
(- (* (- 1 x) (- 1 x)) (* x (* y y)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y))))))
(* (- 1 x) (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* x (* y y))
(.f64 x (.f64 y y))
(* y y)
(*.f64 y y)
y
(- (- 1 x) (* y (sqrt x)))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(* y (sqrt x))
(*.f64 y (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)

localize132.0ms (1.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 x))
✓	accuracy	92.4%	(-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y)))
✓	accuracy	91.4%	(.f64 x (.f64 y y))
✓	accuracy	63.6%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	93.9%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
✓	accuracy	99.7%	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
✓	accuracy	99.5%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))

Results

90.0ms

256×

valid

Compiler

Compiled 177 to 27 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 15.0ms (36% of total)

ival-pow: 9.0ms (21.6% of total)

ival-add: 5.0ms (12% of total)

ival-sub: 4.0ms (9.6% of total)

ival-div: 4.0ms (9.6% of total)

ival-sqrt: 4.0ms (9.6% of total)

const: 1.0ms (2.4% of total)

backward-pass: 0.0ms (0% of total)

series165.0ms (1.9%)

Counts

18 → 372

Calls

Call 1

Inputs
#<alt (+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y)))>
#<alt (* (pow x 1/4) (* (pow x 1/4) y))>
#<alt (- 1 x)>
#<alt (pow x 1/4)>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (sqrt x)>
#<alt (+ 1 (* x (+ -1 (* y (sqrt (/ 1 x))))))>
#<alt (* x (+ -1 (* y (sqrt (/ 1 x)))))>
#<alt (+ -1 (* y (sqrt (/ 1 x))))>
#<alt (* y (sqrt (/ 1 x)))>
#<alt (/ (- (* (- 1 x) (- 1 x)) (* x (* y y))) (- (- 1 x) (* y (sqrt x))))>
#<alt (- (* (- 1 x) (- 1 x)) (* x (* y y)))>
#<alt (* (- 1 x) (- 1 x))>
#<alt (* (pow x 1/4) y)>
#<alt (sqrt (/ 1 x))>
#<alt (* x (* y y))>
#<alt (* y (sqrt x))>

Outputs
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))>
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))>
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))>
#<alt (* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))>
#<alt (* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))>
#<alt (* (sqrt x) y)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt -1>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)>
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)>
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))>
#<alt (/ 1 (- 1 (* (sqrt x) y)))>
#<alt (+ (* x (+ (* -1 (/ (+ 2 (pow y 2)) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))>
#<alt (+ (* x (+ (* -1 (/ (+ 2 (pow y 2)) (- 1 (* (sqrt x) y)))) (+ (* x (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (+ (* -1 (/ (+ 2 (pow y 2)) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))))) (/ 1 (- 1 (* (sqrt x) y))))>
#<alt (+ (* x (+ (* -1 (/ (+ 2 (pow y 2)) (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (+ (* -1 (/ (+ 2 (pow y 2)) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y)))) (* -1 (/ (+ (* -1 (/ (+ 2 (pow y 2)) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))))) (/ 1 (- 1 (* (sqrt x) y))))>
#<alt (* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))>
#<alt (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (pow x 2))) (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))>
#<alt (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (pow x 3))) (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ (* -1 (/ (- (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))))>
#<alt (* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))))) x)) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 2 (pow y 2)))))>
#<alt (+ 1 (* x (- x (+ 2 (pow y 2)))))>
#<alt (+ 1 (* x (- x (+ 2 (pow y 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 2 (pow y 2)) x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) (/ (pow y 2) x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) (/ (pow y 2) x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (* -1 (pow y 2))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (+ (* -1 (pow y 2)) (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (+ (* -1 (pow y 2)) (/ 1 x))) x))))>
#<alt (pow (- 1 x) 2)>
#<alt (+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2))>
#<alt (+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2))>
#<alt (+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))>
#<alt (* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))>
#<alt (* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))>
#<alt (* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))>
#<alt (* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- x 2)))>
#<alt (+ 1 (* x (- x 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (* (pow (* 1 x) 1/4) y)>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>

Calls

93 calls:

Time	Variable		Point	Expression
72.0ms	y	@	0	(* (pow x 1/4) y)
28.0ms	x	@	0	(pow x 1/4)
18.0ms	x	@	-inf	(pow x 1/4)
8.0ms	x	@	inf	(pow x 1/4)
6.0ms	x	@	0	(+ 1 (* x (+ -1 (* y (sqrt (/ 1 x))))))

rewrite494.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3110×	`-lowering-.f32`
3110×	`-lowering-.f64`
2820×	`/-lowering-/.f32`
2820×	`/-lowering-/.f64`
2194×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	130
1	188	90
2	1647	88
0	9549	88

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 982

Calls

Call 1

Inputs
(+ (- 1 x) (* (pow x 1/4) (* (pow x 1/4) y)))
(* (pow x 1/4) (* (pow x 1/4) y))
(- 1 x)
(pow x 1/4)
(+ 1 (* (sqrt x) y))
(* (sqrt x) y)
(sqrt x)
(+ 1 (* x (+ -1 (* y (sqrt (/ 1 x))))))
(* x (+ -1 (* y (sqrt (/ 1 x)))))
(+ -1 (* y (sqrt (/ 1 x))))
(* y (sqrt (/ 1 x)))
(/ (- (* (- 1 x) (- 1 x)) (* x (* y y))) (- (- 1 x) (* y (sqrt x))))
(- (* (- 1 x) (- 1 x)) (* x (* y y)))
(* (- 1 x) (- 1 x))
(* (pow x 1/4) y)
(sqrt (/ 1 x))
(* x (* y y))
(* y (sqrt x))

Outputs
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 x)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (sqrt.f64 x))))) (neg.f64 (/.f64 (.f64 y (.f64 x y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) x))
(+.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) x))
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(exp.f64 (.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) (*.f64 #s(literal 1/4 binary64) (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) (.f64 #s(literal 1/4 binary64) (log.f64 x)))))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 x y)))
(.f64 x (.f64 y y))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (.f64 y (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) #s(literal 2 binary64)))
(.f64 y (.f64 x y))
(.f64 y (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 y (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 y (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 y y) x)
(.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (*.f64 x y)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 x y) y)
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) y) #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(.f64 (.f64 (.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(.f64 (.f64 (.f64 y (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x)
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)))
(*.f64 x (/.f64 y (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 y (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) y)
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x y))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))
(.f64 (.f64 x y) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (.f64 x (pow.f64 x #s(literal -1/2 binary64))) y)

simplify265.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3822×	`-lowering-.f32`
3822×	`-lowering-.f64`
2996×	`+-lowering-+.f64`
2996×	`+-lowering-+.f32`
1122×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	3299
1	925	2959
2	3464	2819
0	8712	2819

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(* (sqrt x) y)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(+ (* -1 x) (* (sqrt x) y))
(+ (* -1 x) (* (sqrt x) y))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 x)
(+ (* -1 x) (* (sqrt x) y))
(+ (* -1 x) (* (sqrt x) y))
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt x) y)
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
-1
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(* (sqrt (/ 1 x)) y)
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* (sqrt (/ 1 x)) y)
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(/ 1 (- 1 (* (sqrt x) y)))
(+ (* x (+ (* -1 (/ (+ 2 (pow y 2)) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (+ (* -1 (/ (+ 2 (pow y 2)) (- 1 (* (sqrt x) y)))) (+ (* x (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (+ (* -1 (/ (+ 2 (pow y 2)) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (+ (* -1 (/ (+ 2 (pow y 2)) (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (+ (* -1 (/ (+ 2 (pow y 2)) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y)))) (* -1 (/ (+ (* -1 (/ (+ 2 (pow y 2)) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))))) (/ 1 (- 1 (* (sqrt x) y))))
(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))
(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (pow x 2))) (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (pow x 3))) (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ (* -1 (/ (- (+ (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))))
(* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (- (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))))) x)) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
1
(+ 1 (* -1 (* x (+ 2 (pow y 2)))))
(+ 1 (* x (- x (+ 2 (pow y 2)))))
(+ 1 (* x (- x (+ 2 (pow y 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ 2 (pow y 2)) x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) (/ (pow y 2) x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) (/ (pow y 2) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (* -1 (pow y 2))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (+ (* -1 (pow y 2)) (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (+ (* -1 (pow y 2)) (/ 1 x))) x))))
(pow (- 1 x) 2)
(+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2))
(+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2))
(+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))
(* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))
(* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))
(* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))
(* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))
1
(+ 1 (* -2 x))
(+ 1 (* x (- x 2)))
(+ 1 (* x (- x 2)))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(* (pow (* 1 x) 1/4) y)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))

Outputs
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
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(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y x)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y x)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y x)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y x)))
1
#s(literal 1 binary64)
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (+ (sqrt x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(* y (+ (sqrt x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(* y (+ (sqrt x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
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(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(+ (* -1 x) (* (sqrt x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
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(-.f64 (*.f64 (sqrt.f64 x) y) x)
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(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (- (* (sqrt (/ 1 x)) y) 1))
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(+.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 y y) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (/.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (/.f64 (.f64 y y) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64))))) x)) x))))) (/.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (sqrt x) y)) x)
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x (+ 2 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -2 binary64) (.f64 y y))))
(+ 1 (* x (- x (+ 2 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (-.f64 #s(literal -2 binary64) (.f64 y y)))))
(+ 1 (* x (- x (+ 2 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (-.f64 #s(literal -2 binary64) (.f64 y y)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ 2 (pow y 2)) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 y y)) x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) (/ (pow y 2) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 y y)) x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) (/ (pow y 2) x))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 y y)) x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (* -1 (pow y 2))) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 y y)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (+ (* -1 (pow y 2)) (/ 1 x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (+ (* -1 (pow y 2)) (/ 1 x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) x)))
(pow (- 1 x) 2)
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2))
(-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y)))
(+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2))
(-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y)))
(+ (* -1 (* x (pow y 2))) (pow (- 1 x) 2))
(-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 y y)))
(* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))
(.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y y)) x))
(* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))
(.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y y)) x))
(* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))
(.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y y)) x))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 y y)))
(* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))
(.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y y)) x))
(* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))
(.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y y)) x))
(* (pow y 2) (- (/ (pow (- 1 x) 2) (pow y 2)) x))
(.f64 (.f64 y y) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 y y)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(+ 1 (* x (- x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(.f64 y (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(.f64 y (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(.f64 y (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(.f64 y (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(* (pow (* 1 x) 1/4) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)

eval278.0ms (3.2%)

Compiler: Compiled 50809 to 2534 computations (95% saved)

prune133.0ms (1.5%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1577	14	1591
Fresh	3	1	4
Picked	3	2	5
Done	0	1	1
Total	1583	18	1601

Accuracy

100.0%

Counts

1601 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(/.f64 (-.f64 (.f64 y (.f64 x y)) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
	37.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
	42.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
	48.5%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
	42.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
	48.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	61.8%	(-.f64 #s(literal 1 binary64) x)
	31.9%	(-.f64 #s(literal 0 binary64) x)
✓	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
	77.3%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) x) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))))
	64.4%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x y)))
	61.6%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓	67.5%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
▶	88.1%	(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
▶	42.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
▶	48.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
▶	38.6%	(*.f64 (sqrt.f64 x) y)
▶	30.6%	#s(literal 1 binary64)

Compiler

Compiled 459 to 269 computations (41.4% saved)

simplify209.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	512	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(-.f64 (sqrt.f64 x) (/.f64 x y))
✓	cost-diff	128	(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))

Rules

2246×	`-lowering-.f32`
2246×	`-lowering-.f64`
1714×	`+-lowering-+.f64`
1714×	`+-lowering-+.f32`
1370×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	118
1	54	112
2	110	109
3	286	109
4	755	104
5	1395	99
6	3147	99
7	7048	99
0	8038	99

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ 1 (* y (- (sqrt x) (/ x y))))
1
(* y (- (sqrt x) (/ x y)))
y
(- (sqrt x) (/ x y))
(sqrt x)
x
(/ x y)
1
(* (- 1 (* x x)) (/ 1 (+ 1 x)))
(- 1 (* x x))
1
(* x x)
x
(/ 1 (+ 1 x))
(+ 1 x)
(* (- 1 (* x (* x x))) (/ 1 (+ 1 (* x (+ 1 x)))))
(- 1 (* x (* x x)))
1
(* x (* x x))
x
(* x x)
(/ 1 (+ 1 (* x (+ 1 x))))
(+ 1 (* x (+ 1 x)))
(* x (+ 1 x))
(+ 1 x)
(* (sqrt x) y)
(sqrt x)
x
y

Outputs
(+ 1 (* y (- (sqrt x) (/ x y))))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(* y (- (sqrt x) (/ x y)))
(-.f64 (*.f64 y (sqrt.f64 x)) x)
y
(- (sqrt x) (/ x y))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(sqrt x)
(sqrt.f64 x)
x
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(* (- 1 (* x x)) (/ 1 (+ 1 x)))
(-.f64 #s(literal 1 binary64) x)
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(* (- 1 (* x (* x x))) (/ 1 (+ 1 (* x (+ 1 x)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))))
(- 1 (* x (* x x)))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(/ 1 (+ 1 (* x (+ 1 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(+ 1 (* x (+ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(* x (+ 1 x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
x
y

localize87.0ms (1%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	67.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	79.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 x) (/.f64 x y))
✓	accuracy	88.0%	(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))

Results

55.0ms

256×

valid

Compiler

Compiled 131 to 21 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 12.0ms (41.4% of total)

ival-div: 6.0ms (20.7% of total)

ival-sub: 5.0ms (17.2% of total)

ival-add: 4.0ms (13.8% of total)

ival-sqrt: 2.0ms (6.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series41.0ms (0.5%)

Counts

15 → 228

Calls

Call 1

Inputs
#<alt (+ 1 (* y (- (sqrt x) (/ x y))))>
#<alt (* y (- (sqrt x) (/ x y)))>
#<alt (- (sqrt x) (/ x y))>
#<alt (sqrt x)>
#<alt (* (- 1 (* x x)) (/ 1 (+ 1 x)))>
#<alt (- 1 (* x x))>
#<alt (* x x)>
#<alt (/ 1 (+ 1 x))>
#<alt (* (- 1 (* x (* x x))) (/ 1 (+ 1 (* x (+ 1 x)))))>
#<alt (- 1 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* (sqrt x) y)>
#<alt (+ 1 x)>
#<alt (/ 1 (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 x))>

Outputs
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))>
#<alt (* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))>
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))>
#<alt (* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))>
#<alt (* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))>
#<alt (* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* x (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))>
#<alt (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))>
#<alt (* -1 (/ x y))>
#<alt (/ (- (* (sqrt x) y) x) y)>
#<alt (/ (- (* (sqrt x) y) x) y)>
#<alt (/ (- (* (sqrt x) y) x) y)>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (sqrt x)>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (+ (sqrt x) (* -1 (/ x y)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 3)))>
#<alt (+ 1 (* -1 (pow x 3)))>
#<alt (+ 1 (* -1 (pow x 3)))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (pow x 2) 1)))>
#<alt (+ 1 (* x (- (* (pow x 2) (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>

Calls

57 calls:

Time	Variable		Point	Expression
31.0ms	x	@	-inf	(* x (* x x))
1.0ms	y	@	-inf	(+ 1 (* y (- (sqrt x) (/ x y))))
1.0ms	x	@	inf	(+ 1 (* y (- (sqrt x) (/ x y))))
0.0ms	x	@	-inf	(* (- 1 (* x (* x x))) (/ 1 (+ 1 (* x (+ 1 x)))))
0.0ms	x	@	0	(* (- 1 (* x (* x x))) (/ 1 (+ 1 (* x (+ 1 x)))))

rewrite430.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

3684×	`/-lowering-/.f32`
3684×	`/-lowering-/.f64`
3098×	`-lowering-.f32`
3098×	`-lowering-.f64`
1746×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	139	70
2	1258	68
0	8358	68

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 886

Calls

Call 1

Inputs
(+ 1 (* y (- (sqrt x) (/ x y))))
(* y (- (sqrt x) (/ x y)))
(- (sqrt x) (/ x y))
(sqrt x)
(* (- 1 (* x x)) (/ 1 (+ 1 x)))
(- 1 (* x x))
(* x x)
(/ 1 (+ 1 x))
(* (- 1 (* x (* x x))) (/ 1 (+ 1 (* x (+ 1 x)))))
(- 1 (* x (* x x)))
(* x (* x x))
(* (sqrt x) y)
(+ 1 x)
(/ 1 (+ 1 (* x (+ 1 x))))
(* x (+ 1 x))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
(+.f64 (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))) (neg.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))) (/.f64 (pow.f64 (.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))))
(-.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 2 binary64)) (+.f64 (.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 1 binary64))
(fma.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y #s(literal 1 binary64))
(fma.f64 (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))) #s(literal 2 binary64)) #s(literal -1 binary64))))
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(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))))) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x))))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 x (.f64 x x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 x #s(literal -1 binary64)))) (.f64 x (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 x x))) (-.f64 x (.f64 x x)))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 x x)))) (neg.f64 (-.f64 x (.f64 x x))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x)))))))) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) x))))))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))

simplify244.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2278×	`-lowering-.f32`
2278×	`-lowering-.f64`
1730×	`fma-lowering-fma.f32`
1730×	`fma-lowering-fma.f64`
1690×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1196
1	404	1115
2	1205	1072
3	4335	1072
0	8275	1072

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(* -1 x)
(+ (* -1 x) (* (sqrt x) y))
(+ (* -1 x) (* (sqrt x) y))
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt x) y)
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(+ (* -1 x) (* (sqrt x) y))
(+ (* -1 x) (* (sqrt x) y))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(sqrt x)
(+ (sqrt x) (* -1 (/ x y)))
(+ (sqrt x) (* -1 (/ x y)))
(+ (sqrt x) (* -1 (/ x y)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (/ x y))
(/ (- (* (sqrt x) y) x) y)
(/ (- (* (sqrt x) y) x) y)
(/ (- (* (sqrt x) y) x) y)
(sqrt x)
(+ (sqrt x) (* -1 (/ x y)))
(+ (sqrt x) (* -1 (/ x y)))
(+ (sqrt x) (* -1 (/ x y)))
(sqrt x)
(+ (sqrt x) (* -1 (/ x y)))
(+ (sqrt x) (* -1 (/ x y)))
(+ (sqrt x) (* -1 (/ x y)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 (* -1 (pow x 3)))
(+ 1 (* -1 (pow x 3)))
(+ 1 (* -1 (pow x 3)))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (pow x 2) 1)))
(+ 1 (* x (- (* (pow x 2) (+ 1 (* -1 x))) 1)))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 4)))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))) (pow x 2))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))

Outputs
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (+ (* y (- (sqrt (/ 1 x)) (/ 1 y))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* (sqrt x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+ (* -1 x) (* (sqrt x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+ (* -1 x) (* (sqrt x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (+ (sqrt x) (* -1 (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* y (+ (sqrt x) (* -1 (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* y (+ (sqrt x) (* -1 (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(+ (* -1 x) (* (sqrt x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+ (* -1 x) (* (sqrt x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+ (* -1 x) (* (sqrt x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (* y (- (sqrt (/ 1 x)) (/ 1 y))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (* y (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1 (/ x y)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(+ (sqrt x) (* -1 (/ x y)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(+ (sqrt x) (* -1 (/ x y)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(* x (- (sqrt (/ 1 x)) (/ 1 y)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 y))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y)))
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(/ (- (* (sqrt x) y) x) y)
(-.f64 (sqrt.f64 x) (/.f64 x y))
(/ (- (* (sqrt x) y) x) y)
(-.f64 (sqrt.f64 x) (/.f64 x y))
(/ (- (* (sqrt x) y) x) y)
(-.f64 (sqrt.f64 x) (/.f64 x y))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1 (/ x y)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(+ (sqrt x) (* -1 (/ x y)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(+ (sqrt x) (* -1 (/ x y)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1 (/ x y)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(+ (sqrt x) (* -1 (/ x y)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(+ (sqrt x) (* -1 (/ x y)))
(-.f64 (sqrt.f64 x) (/.f64 x y))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 3)))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(+ 1 (* -1 (pow x 3)))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(+ 1 (* -1 (pow x 3)))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (pow x 2) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))))
(+ 1 (* x (- (* (pow x 2) (+ 1 (* -1 x))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x))) x)) (.f64 x x))
x
(* x (+ 1 x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(* x (+ 1 x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(* x (+ 1 x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))

eval192.0ms (2.2%)

Compiler: Compiled 33807 to 2566 computations (92.4% saved)

prune423.0ms (4.9%)

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1240	20	1260
Fresh	5	5	10
Picked	2	3	5
Done	0	3	3
Total	1247	31	1278

Accuracy

100.0%

Counts

1278 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(/.f64 (-.f64 (.f64 y (.f64 x y)) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
	61.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
✓	61.8%	(-.f64 #s(literal 1 binary64) x)
▶	31.9%	(-.f64 #s(literal 0 binary64) x)
✓	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
▶	77.3%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) x) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))))
	64.4%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x y)))
	61.6%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓	67.5%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
✓	88.1%	(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
	30.0%	(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) y)
	32.7%	(.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
	12.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x))) x)) (*.f64 x x)))
	13.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (*.f64 x x)))
	12.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))
▶	12.2%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
	13.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
▶	34.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
	34.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) x)))))))
▶	34.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
	33.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
	18.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x))
	19.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
	18.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
	19.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
	34.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
	34.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x))))))
	34.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
	33.2%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
✓	38.6%	(*.f64 (sqrt.f64 x) y)
✓	30.6%	#s(literal 1 binary64)

Compiler

Compiled 1020 to 544 computations (46.7% saved)

simplify151.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y y)))
✓	cost-diff	384	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) x)
✓	cost-diff	384	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) x) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))))
✓	cost-diff	384	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) x) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))))

Rules

2440×	`-lowering-.f32`
2440×	`-lowering-.f64`
1682×	`sum4-define`
1676×	`+-lowering-+.f64`
1676×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	288
1	94	261
2	278	256
3	1072	247
4	7478	246
0	8077	246

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ 1 (/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x)))))
1
(/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x))))
(* (- 1 (* (/ 1 x) (* y y))) x)
(- 1 (* (/ 1 x) (* y y)))
(* (/ 1 x) (* y y))
(/ 1 x)
x
(* y y)
y
(- -1 (/ y (sqrt x)))
-1
(/ y (sqrt x))
(sqrt x)
(- 0 x)
0
x
(* (- 1 (* x (* x x))) (- 1 x))
(- 1 (* x (* x x)))
1
(* x (* x x))
x
(* x x)
(- 1 x)
(* (- 1 (* x (* x x))) (+ 1 (* x (+ -1 (* x x)))))
(- 1 (* x (* x x)))
1
(* x (* x x))
x
(* x x)
(+ 1 (* x (+ -1 (* x x))))
(* x (+ -1 (* x x)))
(+ -1 (* x x))
-1
(* (- 1 (* x (* x x))) (/ (+ 1 (+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x))))) (* x x)))
(- 1 (* x (* x x)))
1
(* x (* x x))
x
(* x x)
(/ (+ 1 (+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x))))) (* x x))
(+ 1 (+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x)))))
(+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x))))
(/ (+ -1 (/ 1 (* x x))) x)
(+ -1 (/ 1 (* x x)))
-1
(/ 1 (* x x))
(/ -1 (* (* x x) (* x x)))
(* (* x x) (* x x))

Outputs
(+ 1 (/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))))
1
#s(literal 1 binary64)
(/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x))))
(/.f64 (-.f64 x (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))))
(* (- 1 (* (/ 1 x) (* y y))) x)
(-.f64 x (*.f64 y y))
(- 1 (* (/ 1 x) (* y y)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(* (/ 1 x) (* y y))
(/.f64 (*.f64 y y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* y y)
(*.f64 y y)
y
(- -1 (/ y (sqrt x)))
(-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))
-1
#s(literal -1 binary64)
(/ y (sqrt x))
(/.f64 y (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(* (- 1 (* x (* x x))) (- 1 x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(- 1 (* x (* x x)))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(* (- 1 (* x (* x x))) (+ 1 (* x (+ -1 (* x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(- 1 (* x (* x x)))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ 1 (* x (+ -1 (* x x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))))
(* x (+ -1 (* x x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(+ -1 (* x x))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
-1
#s(literal -1 binary64)
(* (- 1 (* x (* x x))) (/ (+ 1 (+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x))))) (* x x)))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x))
(- 1 (* x (* x x)))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(/ (+ 1 (+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x))))) (* x x))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (.f64 x x))))) (.f64 x x))
(+ 1 (+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (*.f64 x x)))))
(+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x))))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (*.f64 x x))))
(/ (+ -1 (/ 1 (* x x))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(+ -1 (/ 1 (* x x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
-1
#s(literal -1 binary64)
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (* (* x x) (* x x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (.f64 x x)))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))

localize186.0ms (2.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (*.f64 x x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	68.3%	(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))
✓	accuracy	67.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	99.7%	(/.f64 y (sqrt.f64 x))
✓	accuracy	94.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) x)
✓	accuracy	91.2%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y y))
✓	accuracy	83.5%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) x) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))))

Results

129.0ms

256×

valid

Compiler

Compiled 335 to 35 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 33.0ms (37.5% of total)

ival-sub: 28.0ms (31.8% of total)

ival-div: 12.0ms (13.6% of total)

ival-add: 8.0ms (9.1% of total)

ival-sqrt: 7.0ms (8% of total)

const: 1.0ms (1.1% of total)

backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

Counts

18 → 288

Calls

Call 1

Inputs
#<alt (+ 1 (/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x)))))>
#<alt (/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x))))>
#<alt (* (- 1 (* (/ 1 x) (* y y))) x)>
#<alt (- 1 (* (/ 1 x) (* y y)))>
#<alt (- 0 x)>
#<alt (* (- 1 (* x (* x x))) (- 1 x))>
#<alt (- 1 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (* (- 1 (* x (* x x))) (+ 1 (* x (+ -1 (* x x)))))>
#<alt (* (- 1 (* x (* x x))) (/ (+ 1 (+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x))))) (* x x)))>
#<alt (* (/ 1 x) (* y y))>
#<alt (/ y (sqrt x))>
#<alt (- 1 x)>
#<alt (* x (+ -1 (* x x)))>
#<alt (+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x))))>
#<alt (/ 1 (* x x))>
#<alt (/ (+ 1 (+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x))))) (* x x))>

Outputs
#<alt 1>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* x (+ (* -1 (* x (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)))) (* (sqrt (/ 1 x)) y))))>
#<alt (+ 1 (* x (+ (* x (+ (* -1 (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x))) (* (sqrt x) (/ (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)) y)))) (* (sqrt (/ 1 x)) y))))>
#<alt (* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (- (+ (/ 1 x) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (- (+ (/ 1 x) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (- (+ (/ 1 x) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))>
#<alt (* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))>
#<alt (* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))>
#<alt (* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))>
#<alt (* (sqrt x) y)>
#<alt (* x (+ (* -1 (* x (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)))) (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ (* x (+ (* -1 (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x))) (* (sqrt x) (/ (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)) y)))) (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ (* x (+ (* -1 (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x))) (* x (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)) (pow y 2))) (* (sqrt (/ 1 x)) (/ (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)) y)))))) (* (sqrt (/ 1 x)) y)))>
#<alt (* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (- (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (- (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (- (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))>
#<alt (* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))>
#<alt (* -1 (* x (+ (* -1 (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (pow y 2))>
#<alt (+ x (* -1 (pow y 2)))>
#<alt (+ x (* -1 (pow y 2)))>
#<alt (+ x (* -1 (pow y 2)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (pow y 2) x))))>
#<alt (* x (+ 1 (* -1 (/ (pow y 2) x))))>
#<alt (* x (+ 1 (* -1 (/ (pow y 2) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (pow y 2) x) 1)))>
#<alt (* -1 (* x (- (/ (pow y 2) x) 1)))>
#<alt (* -1 (* x (- (/ (pow y 2) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (pow y 2)))>
#<alt (+ x (* -1 (pow y 2)))>
#<alt (+ x (* -1 (pow y 2)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ x (pow y 2)) 1))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (/ (- x (pow y 2)) x)>
#<alt (/ (- x (pow y 2)) x)>
#<alt (/ (- x (pow y 2)) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow y 2) x)))>
#<alt (+ 1 (* -1 (/ (pow y 2) x)))>
#<alt (+ 1 (* -1 (/ (pow y 2) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow y 2) x)))>
#<alt (+ 1 (* -1 (/ (pow y 2) x)))>
#<alt (+ 1 (* -1 (/ (pow y 2) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow y 2) x)))>
#<alt (+ 1 (* -1 (/ (pow y 2) x)))>
#<alt (+ 1 (* -1 (/ (pow y 2) x)))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 x)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 x)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 x)))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 x)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 x)))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* -1 (pow x 2)) 1)))>
#<alt (+ 1 (* x (- (* (pow x 2) (- x 1)) 1)))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (/ 1 x)))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))>
#<alt (* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 x) (/ 1 (pow x 3)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (/ 1 x)))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3))) x))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 3)))>
#<alt (+ 1 (* -1 (pow x 3)))>
#<alt (+ 1 (* -1 (pow x 3)))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (pow x 3) 1)))>
#<alt (+ 1 (* x (- (* (pow x 3) (+ 1 (* -1 (pow x 2)))) 1)))>
#<alt (* -1 (pow x 6))>
#<alt (* (pow x 6) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 6) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 5)))))>
#<alt (* -1 (pow x 6))>
#<alt (* (pow x 6) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 6) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (- (+ (* -1 (/ (- 1 (/ 1 x)) (pow x 5))) (/ 1 (pow x 2))) 1))>
#<alt (/ -1 (pow x 6))>
#<alt (/ (- x 1) (pow x 6))>
#<alt (/ (- (* x (+ 1 (pow x 5))) 1) (pow x 6))>
#<alt (/ (- (* x (+ 1 (* (pow x 5) (+ 1 (* -1 x))))) 1) (pow x 6))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (+ (/ 1 x) (/ 1 (pow x 6))) 1))>
#<alt (* x (- (+ (/ 1 x) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 7)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (/ 1 (pow x 5))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) (pow x 5)))) x)))))>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* x (- (pow x 2) 1))>
#<alt (* x (- (pow x 2) 1))>
#<alt (* x (- (pow x 2) 1))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))>
#<alt (/ -1 (pow x 4))>
#<alt (/ (- x 1) (pow x 4))>
#<alt (/ (- (* x (+ 1 (* -1 (pow x 2)))) 1) (pow x 4))>
#<alt (/ (- (* x (+ 1 (* -1 (pow x 2)))) 1) (pow x 4))>
#<alt (/ -1 x)>
#<alt (/ (- (/ 1 (pow x 2)) 1) x)>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 3)))) x)>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 3)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (/ 1 (pow x 2))) x))>
#<alt (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))>
#<alt (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ -1 (pow x 6))>
#<alt (/ (- x 1) (pow x 6))>
#<alt (/ (- (* x (+ 1 (* -1 (pow x 2)))) 1) (pow x 6))>
#<alt (/ (- (* x (+ 1 (* (pow x 2) (- x 1)))) 1) (pow x 6))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))) (pow x 2))>

Calls

72 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(+ 1 (/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x)))))
1.0ms	x	@	-inf	(/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x))))
1.0ms	x	@	inf	(+ 1 (/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x)))))
1.0ms	y	@	inf	(+ 1 (/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x)))))
1.0ms	y	@	0	(+ 1 (/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x)))))

rewrite364.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2786×	`-lowering-.f32`
2786×	`-lowering-.f64`
2342×	`fma-lowering-fma.f32`
2342×	`fma-lowering-fma.f64`
2260×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	181
1	259	145
2	2969	138
0	8779	138

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 526

Calls

Call 1

Inputs
(+ 1 (/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x)))))
(/ (* (- 1 (* (/ 1 x) (* y y))) x) (- -1 (/ y (sqrt x))))
(* (- 1 (* (/ 1 x) (* y y))) x)
(- 1 (* (/ 1 x) (* y y)))
(- 0 x)
(* (- 1 (* x (* x x))) (- 1 x))
(- 1 (* x (* x x)))
(* x (* x x))
(* x x)
(* (- 1 (* x (* x x))) (+ 1 (* x (+ -1 (* x x)))))
(* (- 1 (* x (* x x))) (/ (+ 1 (+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x))))) (* x x)))
(* (/ 1 x) (* y y))
(/ y (sqrt x))
(- 1 x)
(* x (+ -1 (* x x)))
(+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x))))
(/ 1 (* x x))
(/ (+ 1 (+ (/ (+ -1 (/ 1 (* x x))) x) (/ -1 (* (* x x) (* x x))))) (* x x))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))))
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))))) (/.f64 (pow.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 x (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x))) (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (.f64 y y) x) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 y y) x) (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
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(pow.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x)))))) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x)))))) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))))))
(.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x))))))))

simplify292.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4480×	`-lowering-.f32`
4480×	`-lowering-.f64`
2048×	`+-lowering-+.f64`
2048×	`+-lowering-+.f32`
1522×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	2169
1	739	2010
2	2444	1919
0	8182	1919

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
1
(+ 1 (* (sqrt x) y))
(+ 1 (* x (+ (* -1 (* x (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)))) (* (sqrt (/ 1 x)) y))))
(+ 1 (* x (+ (* x (+ (* -1 (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x))) (* (sqrt x) (/ (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)) y)))) (* (sqrt (/ 1 x)) y))))
(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))
(* x (- (+ (/ 1 x) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))
(* x (- (+ (/ 1 x) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))
(* x (- (+ (/ 1 x) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))
(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* (sqrt x) y)
(* x (+ (* -1 (* x (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)))) (* (sqrt (/ 1 x)) y)))
(* x (+ (* x (+ (* -1 (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x))) (* (sqrt x) (/ (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)) y)))) (* (sqrt (/ 1 x)) y)))
(* x (+ (* x (+ (* -1 (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x))) (* x (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)) (pow y 2))) (* (sqrt (/ 1 x)) (/ (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)) y)))))) (* (sqrt (/ 1 x)) y)))
(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))
(* x (- (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))
(* x (- (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))
(* x (- (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))
(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))
(* -1 (* x (+ (* -1 (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(* -1 (* x (+ (* -1 (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(* -1 (* x (+ (* -1 (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(* -1 x)
(+ (* -1 x) (* (sqrt x) y))
(+ (* -1 x) (* (sqrt x) y))
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt x) y)
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (pow y 2))
(+ x (* -1 (pow y 2)))
(+ x (* -1 (pow y 2)))
(+ x (* -1 (pow y 2)))
x
(* x (+ 1 (* -1 (/ (pow y 2) x))))
(* x (+ 1 (* -1 (/ (pow y 2) x))))
(* x (+ 1 (* -1 (/ (pow y 2) x))))
x
(* -1 (* x (- (/ (pow y 2) x) 1)))
(* -1 (* x (- (/ (pow y 2) x) 1)))
(* -1 (* x (- (/ (pow y 2) x) 1)))
x
(+ x (* -1 (pow y 2)))
(+ x (* -1 (pow y 2)))
(+ x (* -1 (pow y 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x (pow y 2)) 1))
(* (pow y 2) (- (/ x (pow y 2)) 1))
(* (pow y 2) (- (/ x (pow y 2)) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x (pow y 2)) 1))
(* (pow y 2) (- (/ x (pow y 2)) 1))
(* (pow y 2) (- (/ x (pow y 2)) 1))
(* -1 (/ (pow y 2) x))
(/ (- x (pow y 2)) x)
(/ (- x (pow y 2)) x)
(/ (- x (pow y 2)) x)
1
(+ 1 (* -1 (/ (pow y 2) x)))
(+ 1 (* -1 (/ (pow y 2) x)))
(+ 1 (* -1 (/ (pow y 2) x)))
1
(+ 1 (* -1 (/ (pow y 2) x)))
(+ 1 (* -1 (/ (pow y 2) x)))
(+ 1 (* -1 (/ (pow y 2) x)))
1
(+ 1 (* -1 (/ (pow y 2) x)))
(+ 1 (* -1 (/ (pow y 2) x)))
(+ 1 (* -1 (/ (pow y 2) x)))
(* -1 (/ (pow y 2) x))
(* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 x)))
(* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 x)))
(* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 x)))
(* -1 (/ (pow y 2) x))
(* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 x)))
(* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 x)))
(* (pow y 2) (- (/ 1 (pow y 2)) (/ 1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* -1 (pow x 2)) 1)))
(+ 1 (* x (- (* (pow x 2) (- x 1)) 1)))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 x)))
(* (pow x 4) (+ 1 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 x)))
(* (pow x 4) (+ 1 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3))) x))))
1
(+ 1 (* -1 (pow x 3)))
(+ 1 (* -1 (pow x 3)))
(+ 1 (* -1 (pow x 3)))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (pow x 3) 1)))
(+ 1 (* x (- (* (pow x 3) (+ 1 (* -1 (pow x 2)))) 1)))
(* -1 (pow x 6))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(* (pow x 6) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 5)))))
(* (pow x 6) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 5)))))
(* -1 (pow x 6))
(* (pow x 6) (- (/ 1 (pow x 2)) 1))
(* (pow x 6) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 5)))))
(* (pow x 6) (- (+ (* -1 (/ (- 1 (/ 1 x)) (pow x 5))) (/ 1 (pow x 2))) 1))
(/ -1 (pow x 6))
(/ (- x 1) (pow x 6))
(/ (- (* x (+ 1 (pow x 5))) 1) (pow x 6))
(/ (- (* x (+ 1 (* (pow x 5) (+ 1 (* -1 x))))) 1) (pow x 6))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (+ (/ 1 x) (/ 1 (pow x 6))) 1))
(* x (- (+ (/ 1 x) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 7)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (/ 1 (pow x 5))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) (pow x 5)))) x)))))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(/ -1 (pow x 4))
(/ (- x 1) (pow x 4))
(/ (- (* x (+ 1 (* -1 (pow x 2)))) 1) (pow x 4))
(/ (- (* x (+ 1 (* -1 (pow x 2)))) 1) (pow x 4))
(/ -1 x)
(/ (- (/ 1 (pow x 2)) 1) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 3)))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 3)))) x)
(/ -1 x)
(* -1 (/ (- 1 (/ 1 (pow x 2))) x))
(* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))
(* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -1 (pow x 6))
(/ (- x 1) (pow x 6))
(/ (- (* x (+ 1 (* -1 (pow x 2)))) 1) (pow x 6))
(/ (- (* x (+ 1 (* (pow x 2) (- x 1)))) 1) (pow x 6))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 4)))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))) (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* (sqrt x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+ 1 (* x (+ (* -1 (* x (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)))) (* (sqrt (/ 1 x)) y))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (-.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(+ 1 (* x (+ (* x (+ (* -1 (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x))) (* (sqrt x) (/ (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 x)) y)))) (* (sqrt (/ 1 x)) y))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 x y))) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 x y)))) y))))
(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (- (+ (/ 1 x) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (- (+ (/ 1 x) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (- (+ (/ 1 x) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
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(*.f64 y (/.f64 y x))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (pow x 2) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(* x (- (pow x 2) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(* x (- (pow x 2) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(pow x 3)
(.f64 x (.f64 x x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))))
(/ -1 (pow x 4))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) x)
(/ (- x 1) (pow x 4))
(/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* x (+ 1 (* -1 (pow x 2)))) 1) (pow x 4))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* x (+ 1 (* -1 (pow x 2)))) 1) (pow x 4))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ 1 (pow x 2)) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (/ 1 (pow x 2))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) x)
(* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (pow x 6))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- x 1) (pow x 6))
(/.f64 (+.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* x (+ 1 (* -1 (pow x 2)))) 1) (pow x 6))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* x (+ 1 (* (pow x 2) (- x 1)))) 1) (pow x 6))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (pow.f64 x #s(literal 6 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 3))) (+ (/ 1 x) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) x)) (.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow x 2))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow x 3))) (/ 1 (pow x 2))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) x)) (.f64 x x))

eval170.0ms (2%)

Compiler: Compiled 34076 to 2786 computations (91.8% saved)

prune149.0ms (1.7%)

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	1177	17	1194
Fresh	4	16	20
Picked	5	0	5
Done	0	6	6
Total	1186	39	1225

Accuracy

100.0%

Counts

1225 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(/.f64 (-.f64 (.f64 y (.f64 x y)) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
	12.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
	30.5%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
	34.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
	18.7%	(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
	61.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
✓	61.8%	(-.f64 #s(literal 1 binary64) x)
✓	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
	83.4%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))))
	64.4%	(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x y)))
	61.6%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓	67.5%	(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
✓	88.1%	(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
	33.9%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x x))))
	30.0%	(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) y)
	17.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
	34.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
	13.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (*.f64 x x)))
	12.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) x)) (.f64 x x)))
	12.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x)))
	12.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))
	13.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
	31.2%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal -1 binary64)))))))
	34.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) x)))))))
	33.9%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
	18.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x))
	19.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
	18.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
	19.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
	34.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
	34.4%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x))))))
	34.1%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
	33.2%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
	10.2%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) x)))
✓	38.6%	(*.f64 (sqrt.f64 x) y)
	5.8%	(.f64 x (.f64 x (*.f64 x x)))
	1.4%	(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
	31.9%	(neg.f64 x)
✓	30.6%	#s(literal 1 binary64)

Compiler

Compiled 1677 to 586 computations (65.1% saved)

regimes126.0ms (1.5%)

Counts

61 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) x)) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x))) x)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 x y)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 y (.f64 x y)) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) x) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y)))

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Calls

3 calls:

53.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
37.0ms	y
29.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes38.0ms (0.4%)

Counts

49 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) x)) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x))) x)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) y)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) x))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))

Calls

2 calls:

16.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
79.7%	2	`x`
95.7%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes24.0ms (0.3%)

Counts

46 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) x)) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x))) x)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 x) y)

Outputs
(*.f64 (sqrt.f64 x) y)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
92.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes35.0ms (0.4%)

Counts

45 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) x)) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x))) x)) (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))

Outputs

(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x)))))

(-.f64 #s(literal 1 binary64) x)

(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))

Calls

2 calls:

16.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
61.8%	1	`x`
67.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

24 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) x))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))

Outputs

(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))

(-.f64 #s(literal 1 binary64) x)

(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
67.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

20 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))

Outputs
(-.f64 #s(literal 1 binary64) x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
65.6%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))

Outputs
(-.f64 #s(literal 1 binary64) x)
(.f64 x (.f64 x (*.f64 x x)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
65.4%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)

Outputs
(-.f64 #s(literal 1 binary64) x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
61.8%	1	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)

Outputs
#s(literal 1 binary64)
(neg.f64 x)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
60.5%	2	`x`
39.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
30.6%	1	`y`
30.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.1700526005290493e+43	1.572484135873944e+49
14.0ms	-6.572442409747624e+25	-2118994931.4242983

Results

18.0ms

304×

valid

Compiler

Compiled 300 to 239 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 3.0ms (30.8% of total)

ival-sqrt: 3.0ms (30.8% of total)

ival-mult: 2.0ms (20.6% of total)

ival-add: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.9027793251377004e+73	7.033623780010473e+79
37.0ms	-5.404554583379087e+88	-3.546723259281523e+87

Results

26.0ms

240×

valid

Compiler

Compiled 210 to 161 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sub: 13.0ms (70.3% of total)

ival-mult: 2.0ms (10.8% of total)

ival-sqrt: 2.0ms (10.8% of total)

ival-add: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.146925903957483e+127	3.713797189138025e+131
13.0ms	-5.691100337428653e+158	-4.1101769946529847e+151

Results

16.0ms

272×

valid

Compiler

Compiled 409 to 276 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 2.0ms (26.2% of total)

ival-mult: 2.0ms (26.2% of total)

ival-sqrt: 2.0ms (26.2% of total)

ival-add: 1.0ms (13.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.146925903957483e+127	3.713797189138025e+131
30.0ms	-5.691100337428653e+158	-4.1101769946529847e+151

Results

17.0ms

272×

valid

Compiler

Compiled 391 to 249 computations (36.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 2.0ms (26.6% of total)

ival-mult: 2.0ms (26.6% of total)

ival-sqrt: 2.0ms (26.6% of total)

ival-add: 1.0ms (13.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.146925903957483e+127	3.713797189138025e+131

Results

8.0ms

128×

valid

Compiler

Compiled 175 to 123 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (27.4% of total)

ival-add: 1.0ms (27.4% of total)

ival-mult: 1.0ms (27.4% of total)

ival-sqrt: 1.0ms (27.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.713797189138025e+131	7.917905694870413e+138

Results

9.0ms

144×

valid

Compiler

Compiled 159 to 110 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sqrt: 2.0ms (37.5% of total)

ival-sub: 1.0ms (18.7% of total)

ival-add: 1.0ms (18.7% of total)

ival-mult: 1.0ms (18.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	113470.32865579914	6345785.728331636

Results

6.0ms

112×

valid

Compiler

Compiled 78 to 67 computations (14.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (32.3% of total)

ival-add: 1.0ms (32.3% of total)

ival-mult: 1.0ms (32.3% of total)

ival-sqrt: 1.0ms (32.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
20×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	161
1	84	161
2	95	161
3	102	161
4	105	161
5	106	161

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 y #s(literal -4299999999999999874170880 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 125000000000000005480730380634524669329255956480 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -5199999999999999965651673650860319162088129740463799069031032538556756211505583141945344 binary64)) (.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 5400000000000000087003169674954547125078127156767069950401391795434599875608576 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))
(if (<=.f64 y #s(literal -1199999999999999962465940921012711697701267859076291864636570558438558929014610315958772160071506915831421458044139895313430006672126526067188015646638080 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))))) (if (<=.f64 y #s(literal 61999999999999999273825154160821230099453588298339609322694760962233700731474003827481774821176734917258274677361796365722834698240 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -160000000000000002748405181954835058886289665348887281723717255123200500204510166721322027885778770923560735352696685356590898023122768099994152791441408 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (if (<=.f64 y #s(literal 459999999999999996101742305431892362895607271805609921678955305770659563943255716561976239027223958587757949781821731635049005056 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal 9199999999999999614206672699305978411982144653740215581393643064901889185519072110569823440722521270081203879348031188899198926848 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal 950000000000000036363984120918496954349500282047654859396109340604256682215167308848096493880023431309042736105381976671522410047995904 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 115000 binary64)) #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 y #s(literal -4299999999999999874170880 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 125000000000000005480730380634524669329255956480 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -4299999999999999874170880 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 125000000000000005480730380634524669329255956480 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -5199999999999999965651673650860319162088129740463799069031032538556756211505583141945344 binary64)) (.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 5400000000000000087003169674954547125078127156767069950401391795434599875608576 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))
(if (<=.f64 y #s(literal -5199999999999999965651673650860319162088129740463799069031032538556756211505583141945344 binary64)) (.f64 y (sqrt.f64 x)) (if (<=.f64 y #s(literal 5400000000000000087003169674954547125078127156767069950401391795434599875608576 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))
(if (<=.f64 y #s(literal -1199999999999999962465940921012711697701267859076291864636570558438558929014610315958772160071506915831421458044139895313430006672126526067188015646638080 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x x))))) (if (<=.f64 y #s(literal 61999999999999999273825154160821230099453588298339609322694760962233700731474003827481774821176734917258274677361796365722834698240 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -1199999999999999962465940921012711697701267859076291864636570558438558929014610315958772160071506915831421458044139895313430006672126526067188015646638080 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))))) (if (<=.f64 y #s(literal 61999999999999999273825154160821230099453588298339609322694760962233700731474003827481774821176734917258274677361796365722834698240 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(if (<=.f64 y #s(literal -160000000000000002748405181954835058886289665348887281723717255123200500204510166721322027885778770923560735352696685356590898023122768099994152791441408 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (if (<=.f64 y #s(literal 459999999999999996101742305431892362895607271805609921678955305770659563943255716561976239027223958587757949781821731635049005056 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -160000000000000002748405181954835058886289665348887281723717255123200500204510166721322027885778770923560735352696685356590898023122768099994152791441408 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (if (<=.f64 y #s(literal 459999999999999996101742305431892362895607271805609921678955305770659563943255716561976239027223958587757949781821731635049005056 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(if (<=.f64 y #s(literal 9199999999999999614206672699305978411982144653740215581393643064901889185519072110569823440722521270081203879348031188899198926848 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal 9199999999999999614206672699305978411982144653740215581393643064901889185519072110569823440722521270081203879348031188899198926848 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(if (<=.f64 y #s(literal 950000000000000036363984120918496954349500282047654859396109340604256682215167308848096493880023431309042736105381976671522410047995904 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 115000 binary64)) #s(literal 1 binary64) (neg.f64 x))
(if (<=.f64 x #s(literal 115000 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
#s(literal 1 binary64)

soundness2.0s (23.1%)

Rules

4480×	`-lowering-.f32`
4480×	`-lowering-.f64`
3822×	`-lowering-.f32`
3822×	`-lowering-.f64`
3110×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1196
1	404	1115
2	1205	1072
3	4335	1072
0	8275	1072
0	26	130
1	188	90
2	1647	88
0	9549	88
0	52	347
1	148	334
2	498	328
3	1669	322
4	7180	322
0	8459	322
0	278	3299
1	925	2959
2	3464	2819
0	8712	2819
0	34	181
1	259	145
2	2969	138
0	8779	138
0	238	2169
1	739	2010
2	2444	1919
0	8182	1919

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 511 to 275 computations (46.2% saved)

preprocess54.0ms (0.6%)

Compiler: Compiled 364 to 124 computations (65.9% saved)

analyze11.0ms (0.1%)

sample684.0ms (8%)

preprocess119.0ms (1.4%)

explain71.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify39.0ms (0.5%)

localize35.0ms (0.4%)

series6.0ms (0.1%)

rewrite294.0ms (3.4%)

simplify141.0ms (1.6%)

eval25.0ms (0.3%)

prune40.0ms (0.5%)

simplify204.0ms (2.4%)

localize132.0ms (1.5%)

series165.0ms (1.9%)

rewrite494.0ms (5.7%)

simplify265.0ms (3.1%)

eval278.0ms (3.2%)

prune133.0ms (1.5%)

simplify209.0ms (2.4%)

localize87.0ms (1%)

series41.0ms (0.5%)

rewrite430.0ms (5%)

simplify244.0ms (2.8%)

eval192.0ms (2.2%)

prune423.0ms (4.9%)

simplify151.0ms (1.8%)

localize186.0ms (2.2%)

series18.0ms (0.2%)

rewrite364.0ms (4.2%)

simplify292.0ms (3.4%)

eval170.0ms (2%)

prune149.0ms (1.7%)

regimes126.0ms (1.5%)

regimes38.0ms (0.4%)

regimes24.0ms (0.3%)

regimes35.0ms (0.4%)

regimes9.0ms (0.1%)

regimes13.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch30.0ms (0.4%)

bsearch53.0ms (0.6%)

bsearch27.0ms (0.3%)

bsearch45.0ms (0.5%)

bsearch13.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch12.0ms (0.1%)

simplify12.0ms (0.1%)

soundness2.0s (23.1%)

preprocess54.0ms (0.6%)

end0.0ms (0%)

Profiling